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Found 5 essays matching the above criteria.
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1. Pathological functions and the Baire category theorem
University essay from Uppsala universitet/Analys och sannolikhetsteoriAbstract : .... READ MORE
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2. Morphisms of Fusion Systems
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : A fusion system on a finite group G with a Sylow p-subgroup P is a category on P with all subgroups of P as objects and group homomorphisms induced by conjugation in G as morphisms and was first introduced by L. Puig around 1990 in order to aid his research in finite group theory. READ MORE
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3. Saturated Fusion Systems
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : A fusion system is a category on a nite p-group, P, which encodes "conjugacy" relations among the subgroups of P. In this thesis fusion systems of nite groups and ways to prove saturation of abstract fusion systems is investigated. First an introduction to fusion systems of nite groups and the notion of abstract fusion systems is given. READ MORE
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4. Fusion Systems On Finite Groups and Alperin's Theorem
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : Let G be a group and P a Sylow p-subgroup of G. A fusion system of G on P, denoted by FP (G), is the category with objects; subgroups of P, and morphisms induced by conjugation in G. This thesis gives a brief introduction to the theory fusion systems. Two classical theorems of Burnside and Frobenius are stated and proved. READ MORE
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5. Baire category theorem
University essay from Karlstads universitet/Institutionen för ingenjörsvetenskap, fysik och matematikAbstract : In this thesis we give an exposition of the notion of category and the Baire category theorem as a set theoretical method for proving existence. The category method was introduced by René Baire to describe the functions that can be represented by a limit of a sequence of continuous real functions. READ MORE
